100890419520 has 672 divisors, whose sum is σ = 392573865600. Its totient is φ = 21799895040.

The previous prime is 100890419489. The next prime is 100890419587. The reversal of 100890419520 is 25914098001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37518336 + ... + 37521024.

It is an arithmetic number, because the mean of its divisors is an integer number (584187300).

Almost surely, 2^100890419520 is an apocalyptic number.

100890419520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100890419520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196286932800).

100890419520 is an abundant number, since it is smaller than the sum of its proper divisors (291683446080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100890419520 is a wasteful number, since it uses less digits than its factorization.

100890419520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The spelling of 100890419520 in words is "one hundred billion, eight hundred ninety million, four hundred nineteen thousand, five hundred twenty".